Given numbers are 616,164,442,360

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 616,164,442,360 is 251170920.

Find LCM of 616,164,442,360 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 77 x 41 x 221 x 45 = 251170920

Therefore, the lowest common multiple of 616,164,442,360 is 251170920.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

616 x 164 x 442 x 360 = 16074938880

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

164 : 1, 2, 4, 41, 82, 164

442 : 1, 2, 13, 17, 26, 34, 221, 442

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,164,442,360, is 2.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

164:2x 2x 41

442:2x 13x 17

360:2x 2x 2x 3x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2 = 32

Therefore, the value for common factors is 32.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 16074938880/(2x32)

LCM = 16074938880/64

LCM = 251170920

Thus, we can understand that the LCM of 616,164,442,360 is 251170920.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 754, 873, 353, 493
• LCM of 792, 942, 801, 969
• LCM of 776, 948, 747, 998
• LCM of 346, 850, 625, 427
• LCM of 961, 149, 771, 193

1. What is the LCM of 616, 164, 442, 360?

Answer: LCM of 616, 164, 442, 360 is 251170920.

2. How to calculate the LCM of 616, 164, 442, 360?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 616, 164, 442, 360.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.